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Finding the Fourth Proportional to 1,144.36, 1,714.24 and 527.20

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Solution

The fourth proportional to 1,144.36, 1,714.24 and 527.20 is: 789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.36 : 1,714.24 = 527.20 : x
  2. Step 2: Convert to fraction form
    1,144.36/1,714.24 = 527.20/x
  3. Step 3: Cross multiply
    1,144.36x = 1,714.24 × 527.20
  4. Step 4: Simplify right side
    1,144.36x = 903,747.33
  5. Step 5: Solve for x
    x = 903,747.33/1,144.36
  6. Step 6: Final answer
    x = 789.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.